[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices

J Tilly, H Chen, S Cao, D Picozzi, K Setia, Y Li, E Grant… - Physics Reports, 2022 - Elsevier
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

Quantum error mitigation

Z Cai, R Babbush, SC Benjamin, S Endo… - Reviews of Modern …, 2023 - APS
For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …

Quantum computational chemistry

S McArdle, S Endo, A Aspuru-Guzik, SC Benjamin… - Reviews of Modern …, 2020 - APS
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …

Hybrid quantum-classical algorithms and quantum error mitigation

S Endo, Z Cai, SC Benjamin, X Yuan - Journal of the Physical …, 2021 - journals.jps.jp
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

Hartree-Fock on a superconducting qubit quantum computer

Google AI Quantum and Collaborators*†, F Arute… - Science, 2020 - science.org
The simulation of fermionic systems is among the most anticipated applications of quantum
computing. We performed several quantum simulations of chemistry with up to one dozen …

Virtual distillation for quantum error mitigation

WJ Huggins, S McArdle, TE O'Brien, J Lee, NC Rubin… - Physical Review X, 2021 - APS
Contemporary quantum computers have relatively high levels of noise, making it difficult to
use them to perform useful calculations, even with a large number of qubits. Quantum error …

Quantum-centric supercomputing for materials science: A perspective on challenges and future directions

Y Alexeev, M Amsler, MA Barroca, S Bassini… - Future Generation …, 2024 - Elsevier
Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

VQE method: a short survey and recent developments

DA Fedorov, B Peng, N Govind, Y Alexeev - Materials Theory, 2022 - Springer
The variational quantum eigensolver (VQE) is a method that uses a hybrid quantum-
classical computational approach to find eigenvalues of a Hamiltonian. VQE has been …

Purification-based quantum error mitigation of pair-correlated electron simulations

TE O'Brien, G Anselmetti, F Gkritsis, VE Elfving… - Nature Physics, 2023 - nature.com
An important measure of the development of quantum computing platforms has been the
simulation of increasingly complex physical systems. Before fault-tolerant quantum …